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aev [14]
3 years ago
12

A reflection about the y axis is determined by what?

Mathematics
1 answer:
murzikaleks [220]3 years ago
6 0

Answer:

It is determined by the graph and what it is.

Step-by-step explanation:

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If QR= 3x-2, RS= 2x+1, QS=6x-3, and R is between Q and S, then RS=​
rewona [7]

Answer:

RS = 5

Step-by-step explanation:

Since R is between Q and S , then

QS = QR + RS , that is

6x - 3 = 3x - 2 + 2x + 1

6x - 3 = 5x - 1 ( subtract 5x from both sides )

x - 3 = - 1 ( add 3 to both sides )

x = 2

Then

RS = 2x + 1 = 2(2) + 1 = 4 + 1 = 5

4 0
3 years ago
Find the number that makes the ratio equivalent to 5:6.<br> :66
choli [55]

Answer:

55 - you multiplied 6 by 11 to get 66 so you multiply by 5 by 11 to get 55.

4 0
2 years ago
Picture shows question
GalinKa [24]
All work is show in the picture below.

5 0
3 years ago
Use the Fundamental Theorem of Calculus to find the "area under curve" of
lozanna [386]

Answer:

\displaystyle A = 300

General Formulas and Concepts:

<u>Calculus</u>

Integrals

  • Definite Integrals
  • Area under the curve
  • Integration Constant C

Integration Rule [Reverse Power Rule]:                                                                   \displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C

Integration Rule [Fundamental Theorem of Calculus 1]:                                        \displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)

Integration Property [Multiplied Constant]:                                                             \displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx

Integration Property [Addition/Subtraction]:                                                           \displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx

Area of a Region Formula:                                                                                       \displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

f(x) = 6x + 19

Interval [12, 15]

<u>Step 2: Find Area</u>

  1. Substitute in variables [Area of a Region Formula]:                                       \displaystyle A = \int\limits^{15}_{12} {(6x + 19)} \, dx
  2. [Integral] Rewrite [Integration Property - Addition/Subtraction]:                   \displaystyle A = \int\limits^{15}_{12} {6x} \, dx + \int\limits^{15}_{12} {19} \, dx
  3. [Integrals] Rewrite [Integration Property - Multiplied Constant]:                   \displaystyle A = 6\int\limits^{15}_{12} {x} \, dx + 19\int\limits^{15}_{12} {} \, dx
  4. [Integrals] Integrate [Integration Rule - Reverse Power Rule]:                      \displaystyle A = 6(\frac{x^2}{2}) \bigg| \limits^{15}_{12} + 19(x) \bigg| \limits^{15}_{12}
  5. Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]:              \displaystyle A = 6(\frac{81}{2}) + 19(3)
  6. Simplify:                                                                                                             \displaystyle A = 300

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

Book: College Calculus 10e

7 0
3 years ago
On average, Nancy has noticed that 20 trucks pass by her apartment daily (24 hours). In order to find the probability that more
sukhopar [10]

Answer: Our required probability is 0.384.

Step-by-step explanation:

Since we have given that

In  24 hours,

λ = 20

In 6 hours,

\lambda=\dfrac{20}{24}\times 6=\dfrac{20}{4}=5

As we know that it is a Poisson distribution.

E[X] = λ  = 5

Probability that more than 6 trucks will pass her apartment is given by

P(X>6)=\sum_{x=6}^{20}\dfrac{e^{-5}\times 5^x}{x!}=0.384

Hence, our required probability is 0.384.

4 0
3 years ago
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